A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g-32 ft/s?. If x is the displacement from the equilibrium position in feet, the differential equation that models the system is O x"+21.3x-0 O x"+256x-0 O x"+32x=0 O x"+16x=0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32
ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any
retarding force and the spring motion is not influenced by an external driving force which is a
function of time. Assume g-32 ft/s?.
If x is the displacement from the equilibrium position in feet, the differential equation that models
the system is
O x"+21.3x-0
O x"+256x=0
x"+32x=0
O x"+16x=0
Transcribed Image Text:A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g-32 ft/s?. If x is the displacement from the equilibrium position in feet, the differential equation that models the system is O x"+21.3x-0 O x"+256x=0 x"+32x=0 O x"+16x=0
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